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1398091968 = 263371317523
BaseRepresentation
bin101001101010101…
…0011000011000000
310121102202102122000
41103111103003000
510330402420333
6350421544000
746434404610
oct12325230300
93542672560
101398091968
11658206209
12330275000
13193861170
14d3976a40
1582b19713
hex535530c0

1398091968 has 448 divisors, whose sum is σ = 5366430720. Its totient is φ = 346374144.

The previous prime is 1398091967. The next prime is 1398091969. The reversal of 1398091968 is 8691908931.

It is an interprime number because it is at equal distance from previous prime (1398091967) and next prime (1398091969).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13980919682 = 3909322301972226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1398091967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2672955 + ... + 2673477.

It is an arithmetic number, because the mean of its divisors is an integer number (11978640).

Almost surely, 21398091968 is an apocalyptic number.

1398091968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683215360).

1398091968 is an abundant number, since it is smaller than the sum of its proper divisors (3968338752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1398091968 is a wasteful number, since it uses less digits than its factorization.

1398091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1398091968 is about 37391.0680243290. The cubic root of 1398091968 is about 1118.1804981002.

The spelling of 1398091968 in words is "one billion, three hundred ninety-eight million, ninety-one thousand, nine hundred sixty-eight".